Remove the floor trim from the edges of the room, from the walls, with a pry bar and hammer. Keep it intact.
Lay out a course of foam underlayment on the floor alongside the edge where you want to start. Cut it with a razor knife to fit.
Connect two Bruce lock-and-fold floorboards to each other, end to end, setting them together first at a slight angle until they click in place, then laying them both flat. Set spacers between the wall and the boards.
Repeat, setting boards end to end along the whole side of the floor, putting spacers by the wall as you go.
Cut the last board in the course to fit against the corner, using a miter saw. Leave a 3/8-inch gap of at the end. This will allow the floor to expand over time.
Lay the next courses alongside the first one, snapping the Bruce lock-and-fold boards together along their long sides. Position them so the ends are staggered between courses. Cut the end pieces as needed with your miter saw. Lay more underlayment as necessary.
Cut the boards of the final course on your table saw, along their lengths, to fit alongside the ending wall. Leave a gap of about 3/8 inch at the ending wall.
Set the floor trim back in place, using your finishing nailer. The trim will hold down the edges of the flooring and hide the space.